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Finding the Third Proportional to 202,227 and 434,982

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Solution

The third proportional to 202,227 and 434,982 is: 935,628.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,227 : 434,982 = 434,982 : x
  2. Step 2: Convert to fraction form
    202,227/434,982 = 434,982/x
  3. Step 3: Cross multiply
    202,227x = 434,982 × 434,982
  4. Step 4: Simplify right side
    202,227x = 189,209,340,324
  5. Step 5: Solve for x
    x = 189,209,340,324/202,227
  6. Step 6: Final answer
    x = 935,628.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.